Question

To test whether a college course is working a pre- and post-test is arranged for the students. The results are given below. Compare the scores with 2 simple t-tests indicated. Use = 0.05 to test the claim. Assuming the scores are randomly selected from the two groups, and equal variances, find the best tistic and the critical value. Test Pre-lest Post test Scores 77 56 64 60 57 88 74 83 68 58 53 50 72 62 65 66 64 74 60 The test statistic is -2.101 and the critical values are 11.25 The test statistic is -1.25 and the critical values are = +2.101 The test statistic is -1.25 and the critical values are = 11.96 d. The test statistic is-9.67 and the critical values are = 22.101

Answer 1

760 bolun.; 2. bample ! Les! let X Pe Les) and y past test X - bample mean of pre-less ; Y Sample mean ok posllol 4y popun meno ol pre test; Hy hom popumean ok past tet S = bumple vay of pre- besi : Spy Popin variance of postles Ho: Mx Mx = ly against H,: Ma & ly that scores are gandomly selected 210m mestu groups and equal variane Under Ho: 4x=lly test statistic Sy n ny Here nx=ny = 10 X 1 Le assuming X-Y 2 $3 + 10 Ixi 63.20 10 ܘܐ E = - 68.60 lo to izi 10 2 2 S E CX; -X) 2 53.96 I * 10 il Sy2 1 2 ( 4;- )? 139.16 121 63.20 - 68.60 test statistic 53.96 lo + 133.16 test statutec t = 1.248 21 . test statistic df = nx+ny-2- lotio 1 =18 toos 302_18 df = 12:101 (Two sided) by The best statistic is -1.25 and cutical value +2:00)